SIP Xd-frames and their perturbations in uniformly convex Banach spaces

DOI10.1142/S0219691314500246zbMath1300.42008MaRDI QIDQ2875659

Xianwei Zheng, Shouzhi Yang

Publication date: 11 August 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

semi-inner productperturbations\(X_d\) -Bessel Sequences\(X_d\)- framesSIP atomic decompositionsSIP Banach frames

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Frames for operators in Banach spaces via semi-inner products ⋮ Signal representations via SIP p-frames and SIP Bessel multipliers in separable Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite frames. Theory and applications.
• Frames, Riesz bases, and sampling expansions in Banach spaces via semi-inner products
• Frame expansions in separable Banach spaces
• Minimizing fusion frame potential
• Describing functions: Atomic decompositions versus frames
• Representation of linear functionals in a Banach space
• Perturbation of operators and applications to frame theory
• \(p\)-frames in separable Banach spaces
• \(g\)-frames and \(g\)-Riesz bases
• Painless nonorthogonal expansions
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• Continuous and Discrete Wavelet Transforms
• Reflexive Banach spaces not isomorphic to uniformly convex spaces
• \(p\)-frames and shift invariant subspaces of \(L^p\)

This page was built for publication: SIP X_d-frames and their perturbations in uniformly convex Banach spaces